For each of the following questions make sure to include your hypotheses, test statistic, p-value or rejection region, and decision in sentence form.
2.ABC Personal Finance company markets it’s personal finance seminar to adults who are considered high-risk borrowers. The company claims their seminar helps adults increase their credit score. A random sample of adults who took the seminar was taken, and their credit scores before, and two years after the seminar were collected. Does this data show the company’s seminar helps adults increase their credit score? Test at the .01 level of significance. Assume credit scores are normally distributed.
Adult | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Before | 608 | 620 | 610 | 650 | 640 | 680 | 655 | 602 | 644 | 656 |
After | 646 | 692 | 715 | 669 | 725 | 786 | 700 | 650 | 660 | 650 |
Number | Before | After | Difference ( di ) | |
608 | 646 | 38 | 219.04 | |
620 | 692 | 72 | 368.64 | |
610 | 715 | 105 | 2724.84 | |
650 | 669 | 19 | 1142.44 | |
640 | 725 | 85 | 1036.84 | |
680 | 786 | 106 | 2830.24 | |
655 | 700 | 45 | 60.84 | |
602 | 650 | 48 | 23.04 | |
644 | 660 | 16 | 1354.24 | |
656 | 650 | -6 | 3457.44 | |
Total | 6365 | 6893 | 528 | 13217.6 |
To Test :-
H0 :-
H1 :-
Test Statistic :-
Test Criteria :-
Reject null hypothesis if
Result :- Reject null hypothesis
Conclusion :- Accept Alternative Hypothesis
There is sufficient evidence to support the claim that the company’s seminar helps adults increase their credit score.
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